35313=x(x*0.16)

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Solution for 35313=x(x*0.16) equation:


Simplifying
35313 = x(x * 0.16)

Reorder the terms for easier multiplication:
35313 = x(0.16x)

Remove parenthesis around (0.16x)
35313 = x * 0.16x

Reorder the terms for easier multiplication:
35313 = 0.16x * x

Multiply x * x
35313 = 0.16x2

Solving
35313 = 0.16x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.16x2' to each side of the equation.
35313 + -0.16x2 = 0.16x2 + -0.16x2

Combine like terms: 0.16x2 + -0.16x2 = 0.00
35313 + -0.16x2 = 0.00

Add '-35313' to each side of the equation.
35313 + -35313 + -0.16x2 = 0.00 + -35313

Combine like terms: 35313 + -35313 = 0
0 + -0.16x2 = 0.00 + -35313
-0.16x2 = 0.00 + -35313

Combine like terms: 0.00 + -35313 = -35313
-0.16x2 = -35313

Divide each side by '-0.16'.
x2 = 220706.25

Simplifying
x2 = 220706.25

Take the square root of each side:
x = {-469.793837763, 469.793837763}

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